Question

Find the surface area of a cylinder with a base radius length of 5 ft. and a height of 8 ft. Use π=3.14 .

Answer 1

To find the surface area of a cylinder, we can use the formula:

\[
\text{Surface Area} = 2\pi r(h + r)
\]

where:
- \( r \) is the radius of the base,
- \( h \) is the height of the cylinder.

Given:
- \( r = 5 \) ft,
- \( h = 8 \) ft,
- \( \pi = 3.14 \).

Now, substitute the values into the formula:

\[
\text{Surface Area} = 2 \cdot 3.14 \cdot 5 \cdot (8 + 5)
\]

First, calculate \( 8 + 5 \):

\[
8 + 5 = 13
\]

Now substitute this back into the equation:

\[
\text{Surface Area} = 2 \cdot 3.14 \cdot 5 \cdot 13
\]

Calculate \( 2 \cdot 3.14 = 6.28 \):

Now multiply \( 6.28 \) by \( 5 \):

\[
6.28 \cdot 5 = 31.4
\]

Finally, multiply by \( 13 \):

\[
31.4 \cdot 13 = 408.2
\]

Thus, the surface area of the cylinder is:

\[
\text{Surface Area} = 408.2 \text{ ft}^2
\]

The surface area of the cylinder is \( 408.2 \) square feet.